Propagation of pore pressure diffusion waves in saturated dual-porosity media (II)

Waves in Partially Saturated Porous Media

E orts to extend the theory of poroelasticity to semilinear and nonlinear elastic response, to partially saturated pores, to inhomogeneous solid frame materials, and to viscous losses due to localized ow e ects are summarized. The prospects for a comprehensive theory of wave propagation in partially saturated porous media and the reasons for needing such a theory are also discussed. The main re...

Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range

Propagation of traveling waves in excitable media.

Traveling waves transmit information through space. Wave patterns arise in phenomena as diverse as the migrating action potentials of neurons (Hodgkin and Huxley 1952), spiraling bands of electrical excitation detected in cardiac muscle (Davidenko et al. 1992), and the movement of calcium within differentiating Xenopus laevis oocytes (Lechleiter et al. 1991). In each of these cases, an excitabl...

Propagation of Elastic Waves in Prestressed Media

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numeri...

Propagation of nonlinear waves in disordered media

We study the propagation of stationary waves in disordered non-linear media described by the nonlinear Schrödinger equation and show that for given boundary conditions and a given coherent wave incident on the sample, the number of solutions of the equation increases exponentially with sample size. We also discuss the ballistic case, the sensitivity of the solutions to the change of external pa...